Application of the Generalized Pencil of Function Method to Time Reversal Imaging

The time reversal (TR) technique has been used to estimate the locations and amplitudes of point scatterers from multistatic data matrix K(w) collected by a set of transducers. The TR imaging theory is based on the singular value decomposition (SVD) of the multistatic data. For ultrawideband signals, high-resolution images can be constructed by using the conventional TR algorithms, but a frequency-dependent and uncontrollable phase φ
_SVD
(w) that comes from SVD adversely affects the locations of the scatterers on the TR image. In this letter, estimation of the locations and amplitudes of point scatterers by applying the generalized pencil of function method to the K(w) is introduced. As our method does not directly rely on SVD, the results are devoid of corruptions induced by φ
_SVD
(w), and the locations of the point scatters are predicted with high accuracy in both range and cross-range directions above 10 dB signal-to-noise ratio value. The efficacy of the introduced method is verified by both numerical and measured examples.